Grupo de Clifford local

El grupo de Clifford local, denotado por ${\mathcal{C}}_n^l$ es el Subgrupo del Grupo de Clifford ${\mathcal{C}}_n$ de todos los $n$-productos tensoriales de elementos en $C_1$, i.e.

$${\mathcal{C}}_n^l=\underset{n\text{ times}}{\underbrace{{\mathcal{C}}_1\otimes {\mathcal{C}}_1\otimes \cdots \otimes {\mathcal{C}}_1}}$$

In simpler terms, it means each tensor factor in ${\mathcal{C}}_n^l$ is an element of the single-qubit Clifford group ${\mathcal{C}}_1$. This group operation is performed independently on each of the $n$ qubits.